Author
Sadahiko Matsuyama
Bio: Sadahiko Matsuyama is an academic researcher from University of Tokyo. The author has contributed to research in topics: Scattering amplitude & Nucleon. The author has an hindex of 1, co-authored 2 publications receiving 3 citations.
Papers
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TL;DR: In this article, the dispersion relations with this absorptive part were used for analyzing nucleon-nucleon scattering data at low energy and at moderate energy, and good agreement was obtained when the coupling constant was chosen as f/sup 2/4 tion = 0.08 combination rat 0.01.
Abstract: Two-pion contribution to ihe absorptive part of nucleonnucleon scattering amplitudes in the unphysical region is calculated using the dispersion relation for pion-nucleon scattering. The dispersion relations with this absorptive part are used for analyzing nucleon-nucleon scattering data at low energy and at moderate energy, and good agreement is obtained when the coupling constant is chosen as f/sup 2/4 tion = 0.08 combination rat 0.01. (auth)
3 citations
TL;DR: In this paper, the coupling constant between pion and nucleon was determined from the neutron-proton scattering length in triplet state and the binding energy of the deuteron.
Abstract: Making use of the dispersion relation for nucleonnucleon scattering, the coupling constant between pion and nucleon is determined from the neutron-proton scattering length in triplet state and the binding energy of the deuteron. The coupling constant /sup 2//4 ith Cr deposite thus determined coincides with those deduced by other theories. (auth)
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TL;DR: In this article, it is shown that the static limit (µ/M → 0) leads to completely unreliable results in a perturbation theory definition of the potential, even in graphs without elastic scattering intermediate states, and that it is still possible to define a potential which is an energyindependent function ofr alone, which when inserted into a non-relativistic Schrodinger equation reproduces the relativistic field-theoretic scattering matrix at sufficiently low energies.
Abstract: It is shown that the static limit (µ/M → 0) leads to completely unreliable results in a perturbation theory definition of the potential, even in graphs without elastic scattering intermediate states. However, it is still possible to define a potential which is an energy-independent function ofr alone, which when inserted into a non-relativistic Schrodinger equation reproduces the relativistic field-theoretic scattering matrix at sufficiently low energies. A method is developed whereby such a potential, in which bothμ andM occur as parameters, is defined unambiguously for the case of a proton and a neutron scattering through a neutral meson field. By using dispersion relations for proton-neutron scattering, it is concluded that the potential reproduces the scattering matrix for momenta ≪ √Mµ. Finally, a general method for explicit construction of the potential as a superposition of Yukawa potentials of different masses is proposed, and the one- and two-meson exchange contributions to the potential are evaluated.
42 citations
TL;DR: Research on the two-nucleon problem during the period 1959-1971 is reviewed and the status of this field is assessed in this paper, where an attempt is also made to give a complete bibliography covering this period.
Abstract: Research on the two-nucleon problem during the period 1959-1971 is reviewed and the status of this field is assessed. An attempt is also made to give a complete bibliography covering this period. This review was completed in August 1972.
41 citations